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What is the general formula for expected value (E(X)) of a discrete random variable
What is the general formula for the variance (Var(X)) of a discrete random variable
mean of the squares minus square of the means
define variance
how variant a variable is aka how different the recorded values are compared to what’s expected
what is E(aX+b)
aE(X)+b
what is E(X+Y)
E(X)+E(Y)
what is Var(aX+b)
a²Var(X)
why does the constant ‘b’ not affect the variance
because the ‘b’ will increase/decrease by the same amount so it won’t change the amount that each varies from the expected, as the expected will change by the same amount.